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Numerical Integration

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If f(x) is continuous, we are guaranteed that exists, but sometimes we cannot evaluate

the integral. For these cases, we use numerical methods to approximate the definite integral

(area under the curve.)

1. Left Riemann Sum

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2. Right Riemann Sum

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3. Midpoint Riemann Sum

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4. Trapezoidal Rule

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5. Simpson's Rule

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EX 1

Use methods 2, 4 and 5 to approximate this integral. Let n = 8

Right Riemann Sum Rule

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Let n = 8. Trapezoidal Rule

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Let n = 8. Simpson's Rule

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 Actual Value

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